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  Markdown 使用 Latex 数学公式
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  <h1 id="添加公式的方法"><a href="#添加公式的方法" class="headerlink" title="添加公式的方法"></a>添加公式的方法</h1><p>行内公式</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$行内公式$</span><br></pre></td></tr></table></figure>
<a id="more"></a>
<p>行间公式</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$$行间公式$$</span><br></pre></td></tr></table></figure>

<h1 id="Latex-数学公式语法"><a href="#Latex-数学公式语法" class="headerlink" title="Latex 数学公式语法"></a>Latex 数学公式语法</h1><h2 id="角标（上下标）"><a href="#角标（上下标）" class="headerlink" title="角标（上下标）"></a>角标（上下标）</h2><p>上标命令^{}<br>下标命令_{}</p>
<p>上下标命令用来放在需要插入上下标的地方，花括弧内为上下标的内容，当角标为单个字符时候，可以不使用花括号；如果角标为多字符或者多层次的时候，必须要使用花括号。</p>
<p>举例：</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br></pre></td><td class="code"><pre><span class="line">$$x^2, x_1^2, x^&#123;y^&#123;z^a&#125;&#125;, x^&#123;y_z&#125;$$</span><br><span class="line">$$^&#123;16&#125;O^&#123;2-&#125;_&#123;32&#125;$$</span><br><span class="line">$$x^&#123;(n)&#125;_&#123;22&#125;$$</span><br></pre></td></tr></table></figure>

<p>$$x^2, x_1^2, x^{y^{z^a}}, x^{y_z}$$</p>
<p>$$^{16}O^{2-}_{32}$$</p>
<p>$$x^{(n)}_{22}$$</p>
<h2 id="分式"><a href="#分式" class="headerlink" title="分式"></a>分式</h2><p>分式命令：</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">\frac&#123;分子&#125;&#123;分母&#125;</span><br></pre></td></tr></table></figure>

<p>$$\frac{x+y}{y+z}$$</p>
<p>连分式</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$x_0+\frac&#123;1&#125;&#123;x_1+\frac&#123;1&#125;&#123;x_2+\frac&#123;1&#125;&#123;x_3+\frac&#123;1&#125;&#123;x_4&#125;&#125;&#125;&#125;$</span><br></pre></td></tr></table></figure>

<p>$$x_0+\frac{1}{x_1+\frac{1}{x_2+\frac{1}{x_3+\frac{1}{x_4}}}}$$</p>
<h2 id="根式"><a href="#根式" class="headerlink" title="根式"></a>根式</h2><p>二次根式命令</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">\sqrt&#123;表达式&#125;</span><br></pre></td></tr></table></figure>
<p>如果表达式是个单个字符，则不需要花括号，但需要在字符和sqrt之间加入一个空格</p>
<p>n次根式命令：</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">\sqrt[n]&#123;表达式&#125;</span><br></pre></td></tr></table></figure>

<p>被开方表达式字符高度不一致时，根号上面的横线可能不是在同一条直线上；为了使横线在同一条直线上，可以在被开方表达式插入一个只有高度没有宽度的数学支柱\mathstut</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$\sqrt&#123;a&#125;+\sqrt&#123;b&#125;+\sqrt&#123;c&#125;,\qquad \sqrt&#123;\mathstrut a&#125;+\sqrt&#123;\mathstrut b&#125;+\sqrt&#123;\mathstrut c&#125;$</span><br></pre></td></tr></table></figure>
<p>$\sqrt{a}+\sqrt{b}+\sqrt{c},\qquad \sqrt{\mathstrut a}+\sqrt{\mathstrut b}+\sqrt{\mathstrut c}$ </p>
<h2 id="求和与积分"><a href="#求和与积分" class="headerlink" title="求和与积分"></a>求和与积分</h2><p>求和命令</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">\sum_&#123;k&#x3D;1&#125;^n表达式（求和项紧随其后,下同）</span><br></pre></td></tr></table></figure>
<p>积分命令</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">\int_a^b表达式</span><br></pre></td></tr></table></figure>
<p>例如：无穷级数<code>$\sum_{k=1}^\infty\frac{x^n}{n!}$</code><br>显示为 $\sum_{k=1}^\infty\frac{x^n}{n!}$<br>可以化为积分<code>$\int_0^\infty e^x$</code><br>显示为 $\int_0^\infty e^x$<br>改变上下限位置的命令：\limits(强制上下限在上下侧) 和 \nolimits(强制上下限在左右侧)</p>
<p>例如： <code>$\sum\limits_{k=1}^n$ 和 $\sum\nolimits_{k=1}^n$</code></p>
<p>显示结果为：$\sum\limits_{k=1}^n$ </p>
<p>$\sum\nolimits_{k=1}^n$</p>
<h2 id="下划线、上划线等"><a href="#下划线、上划线等" class="headerlink" title="下划线、上划线等"></a>下划线、上划线等</h2><p>上划线命令： <code>\overline{公式}</code><br>下划线命令：<code>\underline{公式}</code><br>例如：<code>$\overline{\overline{a^2}+\underline{ab}+\bar{a}^3}$</code><br>显示为  $\overline{\overline{a^2}+\underline{ab}+\bar{a}^3}$<br>上花括弧命令：<code>\overbrace{公式}{说明}</code><br>下花括弧命令：<code>\underbrace{公式}_{说明}</code><br>例如：<code>$\underbrace{a+\overbrace{b+\dots+b}^{m\mbox{ 个}}}_{20\mbox{ 个}}$</code><br>显示为 $\underbrace{a+\overbrace{b+\dots+b}^{m\mbox{ 个}}}_{20\mbox{ 个}}$</p>
<h2 id="数学重音符号"><a href="#数学重音符号" class="headerlink" title="数学重音符号"></a>数学重音符号</h2><p>以a为例，；如果字母i或j带有重音，字母i,y应该替换为\imath、\jmath</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><span class="line">$$</span><br><span class="line">\hat&#123;a&#125;</span><br><span class="line">\check&#123;a&#125;</span><br><span class="line">\breve&#123;a&#125;</span><br><span class="line">\tilde&#123;a&#125;</span><br><span class="line">\bar&#123;a&#125;</span><br><span class="line">\vec&#123;a&#125;</span><br><span class="line">\acute&#123;a&#125;</span><br><span class="line">\grave&#123;a&#125;</span><br><span class="line">\mathring&#123;a&#125;</span><br><span class="line">\dot&#123;a&#125;</span><br><span class="line">\ddot&#123;a&#125;</span><br><span class="line">$$</span><br></pre></td></tr></table></figure>
<p>显示结果为：</p>
<p>$$<br>\hat{a}<br>\check{a}<br>\breve{a}<br>\tilde{a}<br>\bar{a}<br>\vec{a}<br>\acute{a}<br>\grave{a}<br>\mathring{a}<br>\dot{a}<br>\ddot{a}<br>$$</p>
<h2 id="希腊字母"><a href="#希腊字母" class="headerlink" title="希腊字母"></a>希腊字母</h2><table>
<thead>
<tr>
<th align="left">显示</th>
<th align="left">命令</th>
<th align="left">显示</th>
<th align="left">命令</th>
</tr>
</thead>
<tbody><tr>
<td align="left">α</td>
<td align="left">\alpha</td>
<td align="left">β</td>
<td align="left">\beta</td>
</tr>
<tr>
<td align="left">γ</td>
<td align="left">\gamma</td>
<td align="left">δ</td>
<td align="left">\delta</td>
</tr>
<tr>
<td align="left">ε</td>
<td align="left">\epsilon</td>
<td align="left">ζ</td>
<td align="left">\zeta</td>
</tr>
<tr>
<td align="left">η</td>
<td align="left">\eta</td>
<td align="left">θ</td>
<td align="left">\theta</td>
</tr>
<tr>
<td align="left">ι</td>
<td align="left">\iota</td>
<td align="left">κ</td>
<td align="left">\kappa</td>
</tr>
<tr>
<td align="left">λ</td>
<td align="left">\lambda</td>
<td align="left">μ</td>
<td align="left">\mu</td>
</tr>
<tr>
<td align="left">ν</td>
<td align="left">\nu</td>
<td align="left">ξ</td>
<td align="left">\xi</td>
</tr>
<tr>
<td align="left">π</td>
<td align="left">\pi</td>
<td align="left">ρ</td>
<td align="left">\rho</td>
</tr>
<tr>
<td align="left">σ</td>
<td align="left">\sigma</td>
<td align="left">τ</td>
<td align="left">\tau</td>
</tr>
<tr>
<td align="left">υ</td>
<td align="left">\upsilon</td>
<td align="left">φ</td>
<td align="left">\phi</td>
</tr>
<tr>
<td align="left">χ</td>
<td align="left">\chi</td>
<td align="left">ψ</td>
<td align="left">\psi</td>
</tr>
<tr>
<td align="left">ω</td>
<td align="left">\omega</td>
<td align="left"></td>
<td align="left"></td>
</tr>
</tbody></table>
<h1 id="参考"><a href="#参考" class="headerlink" title="参考"></a>参考</h1><p><a href="https://www.cnblogs.com/peaceWang/p/Markdown-tian-jia-Latex-shu-xue-gong-shi.html" target="_blank" rel="noopener">参考1</a><br><a href="https://www.jianshu.com/p/a0aa94ef8ab2" target="_blank" rel="noopener">参考2</a></p>
 
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                <!--  Controls are self-explanatory. Order can be changed. -->

                <div class="pswp__counter"></div>

                <button class="pswp__button pswp__button--close" title="Close (Esc)"></button>

                <button class="pswp__button pswp__button--share" style="display:none" title="Share"></button>

                <button class="pswp__button pswp__button--fs" title="Toggle fullscreen"></button>

                <button class="pswp__button pswp__button--zoom" title="Zoom in/out"></button>

                <!-- Preloader demo http://codepen.io/dimsemenov/pen/yyBWoR -->
                <!-- element will get class pswp__preloader--active when preloader is running -->
                <div class="pswp__preloader">
                    <div class="pswp__preloader__icn">
                        <div class="pswp__preloader__cut">
                            <div class="pswp__preloader__donut"></div>
                        </div>
                    </div>
                </div>
            </div>

            <div class="pswp__share-modal pswp__share-modal--hidden pswp__single-tap">
                <div class="pswp__share-tooltip"></div>
            </div>

            <button class="pswp__button pswp__button--arrow--left" title="Previous (arrow left)">
            </button>

            <button class="pswp__button pswp__button--arrow--right" title="Next (arrow right)">
            </button>

            <div class="pswp__caption">
                <div class="pswp__caption__center"></div>
            </div>

        </div>

    </div>

</div>

<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/photoswipe@4.1.3/dist/photoswipe.min.css">
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/photoswipe@4.1.3/dist/default-skin/default-skin.min.css">
<script src="https://cdn.jsdelivr.net/npm/photoswipe@4.1.3/dist/photoswipe.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/photoswipe@4.1.3/dist/photoswipe-ui-default.min.js"></script>

<script>
    function viewer_init() {
        let pswpElement = document.querySelectorAll('.pswp')[0];
        let $imgArr = document.querySelectorAll(('.article-entry img:not(.reward-img)'))

        $imgArr.forEach(($em, i) => {
            $em.onclick = () => {
                // slider展开状态
                // todo: 这样不好，后面改成状态
                if (document.querySelector('.left-col.show')) return
                let items = []
                $imgArr.forEach(($em2, i2) => {
                    let img = $em2.getAttribute('data-idx', i2)
                    let src = $em2.getAttribute('data-target') || $em2.getAttribute('src')
                    let title = $em2.getAttribute('alt')
                    // 获得原图尺寸
                    const image = new Image()
                    image.src = src
                    items.push({
                        src: src,
                        w: image.width || $em2.width,
                        h: image.height || $em2.height,
                        title: title
                    })
                })
                var gallery = new PhotoSwipe(pswpElement, PhotoSwipeUI_Default, items, {
                    index: parseInt(i)
                });
                gallery.init()
            }
        })
    }
    viewer_init()
</script>

<!-- MathJax -->

<script type="text/x-mathjax-config">
  MathJax.Hub.Config({
      tex2jax: {
          inlineMath: [ ['$','$'], ["\\(","\\)"]  ],
          processEscapes: true,
          skipTags: ['script', 'noscript', 'style', 'textarea', 'pre', 'code']
      }
  });

  MathJax.Hub.Queue(function() {
      var all = MathJax.Hub.getAllJax(), i;
      for(i=0; i < all.length; i += 1) {
          all[i].SourceElement().parentNode.className += ' has-jax';
      }
  });
</script>

<script src="https://cdn.jsdelivr.net/npm/mathjax@2.7.6/unpacked/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
<script>
  var ayerConfig = {
    mathjax: true
  }
</script>

<!-- Katex -->

<!-- busuanzi  -->


<script src="/js/busuanzi-2.3.pure.min.js"></script>


<!-- ClickLove -->

<!-- ClickBoom1 -->

<!-- ClickBoom2 -->

<!-- CodeCopy -->


<link rel="stylesheet" href="/css/clipboard.css">

<script src="https://cdn.jsdelivr.net/npm/clipboard@2/dist/clipboard.min.js"></script>
<script>
  function wait(callback, seconds) {
    var timelag = null;
    timelag = window.setTimeout(callback, seconds);
  }
  !function (e, t, a) {
    var initCopyCode = function(){
      var copyHtml = '';
      copyHtml += '<button class="btn-copy" data-clipboard-snippet="">';
      copyHtml += '<i class="ri-file-copy-2-line"></i><span>COPY</span>';
      copyHtml += '</button>';
      $(".highlight .code pre").before(copyHtml);
      $(".article pre code").before(copyHtml);
      var clipboard = new ClipboardJS('.btn-copy', {
        target: function(trigger) {
          return trigger.nextElementSibling;
        }
      });
      clipboard.on('success', function(e) {
        let $btn = $(e.trigger);
        $btn.addClass('copied');
        let $icon = $($btn.find('i'));
        $icon.removeClass('ri-file-copy-2-line');
        $icon.addClass('ri-checkbox-circle-line');
        let $span = $($btn.find('span'));
        $span[0].innerText = 'COPIED';
        
        wait(function () { // 等待两秒钟后恢复
          $icon.removeClass('ri-checkbox-circle-line');
          $icon.addClass('ri-file-copy-2-line');
          $span[0].innerText = 'COPY';
        }, 2000);
      });
      clipboard.on('error', function(e) {
        e.clearSelection();
        let $btn = $(e.trigger);
        $btn.addClass('copy-failed');
        let $icon = $($btn.find('i'));
        $icon.removeClass('ri-file-copy-2-line');
        $icon.addClass('ri-time-line');
        let $span = $($btn.find('span'));
        $span[0].innerText = 'COPY FAILED';
        
        wait(function () { // 等待两秒钟后恢复
          $icon.removeClass('ri-time-line');
          $icon.addClass('ri-file-copy-2-line');
          $span[0].innerText = 'COPY';
        }, 2000);
      });
    }
    initCopyCode();
  }(window, document);
</script>


<!-- CanvasBackground -->


<script src="/js/dz.js"></script>



    
  </div>
</body>

</html>